Question

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6.Oblicz
a)1/2+1/3+1/4 =
b)1 2/5+3 4/10 +2 1/2 =
c)4 1/3-2 2/5+1 1/5 =
d)7-3 1/3 -2 1/8 =
e)3 3/4 - 2 2/3 + 6 - 3 5/6 =
f)10 - (2 1/9 - 1/2 + 1 5/6) =
g) (4 1/3 - 2 2/5) - (6 3/5 - 5 2/3) =
h)3 1/4 + 2 2/5 - (4 1/3 - 2 2/3

Answer 1

A)
1/2+1/3+1/4 =

= 6/12 + 4/12 + 3/12=

= 13/12=

= 1 i 1/12



b)
1 i 2/5+3 i 4/10 +2  i 1/2 =

= 1 i 4/10 + 3 i 4/10 + 2 i 5/10=

= 6 i 13/10=

= 7 i 3/10



c)
4 i 1/3-2 i 2/5+1 i1/5 =

= 4 i 5/15 - 2 i 6/15 + 1 i 3/15 =

= 3 i 20/15 - 2 i 6/15 + 1 i 3/15=

= 1 i 14/15 + 1 i 3/15=

= 2 i 17/15=

= 3 i 2/15



d)
7-3 i  1/3 -2 i 1/8 =

= 7 - 3 i 8/24 - 2 i 3/24 =

= 6 i 24/24 - 3 i 8/24 - 2 i 3/24=

= 3 i 16/24 - 2 i 3/24=

= 1 i 13/24




e)
3 i 3/4 - 2 i 2/3 + 6 - 3 i 5/6 =

= 3 i 9/12 - 2 i 8/12 + 6 - 3 i 10/12=

= 1 i 1/12 + 6 - 3 i 10/12=

= 7 i 1/12 - 3 i 10/12=

= 6 i 13/12 - 3 i 10/12=

= 3 i 3/12=

= 3 i 1/4




f)
10 - (2 i 1/9 - 1/2 + 1 i 5/6) =

= 10 - ( 2 i 4/36 - 18/36 + 1 i 30/36)=

= 10 - ( 1 i 40/36 - 18/36 + 1 i 30/36)=

= 10 - (1 i 22/36 + 1 i 30/36)=

= 10 - 2 i 52/36=

= 10 - 3 i 16/36=

= 9 i 36/36 - 3 i 16/36=

= 6 i 20/36=

= 6 i 5/9




g)
(4 i 1/3 - 2 i 2/5) - (6 i 3/5 - 5 i 2/3) =

=(4 i 5/15 - 2 i 6/15) - ( 6 i 9/15 - 5 i 10/15)=

= (3 i 20/15 - 2 i 6/15) - (5 i 24/15 - 5 i 10/15)=

= 1 i 14/15 - 14/15=

= 1




h)
3  i 1/4 + 2 i 2/5 - (4 i 1/3 - 2 i 2/3)=

= 3 i 5/20 + 2 i 8/20 - ( 3 i 4/3 - 2 i 2/3)=

= 5 i 13/20 - 1 i 2/3=

= 5 i 39/60 - 1 i 40/60=

= 4 i 99/60 - 1 i 40/60=

= 3 i 59/60